600.99 is what percent of 4736 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 4736 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 4736, so we can write it down as 100%=4736.
4. We know, that x% equals 600.99 of the output value, so we can write it down as x%=600.99.
5. Now we have two simple equations:
1) 100%=4736
2) x%=600.99
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=4736/600.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 600.99 is what percent of 4736

100%/x%=4736/600.99
(100/x)*x=(4736/600.99)*x       - we multiply both sides of the equation by x
100=7.8803307875339*x       - we divide both sides of the equation by (7.8803307875339) to get x
100/7.8803307875339=x
12.689822635135=x
x=12.689822635135

now we have:
600.99 is 12.689822635135% of 4736